feat: Add Lyrebird Optimization Algorithm (LOA)

[MehdiSndg]

Description

Add Lyrebird Optimization Algorithm (LOA) to bio_based module.

Algorithm

LOA is a bio-inspired metaheuristic algorithm based on lyrebird behavior when sensing danger:

• Phase 1 (Escape/Exploration): Uses safe areas (better solutions) for exploration
• Phase 2 (Hide/Exploitation): Uses shrinking step for local search

Features

• Parameter-free: Only requires epoch and pop_size
• Two-phase approach balancing exploration and exploitation

Reference

Dehghani, M., Montazeri, Z., et al., 2023. Lyrebird Optimization Algorithm. Biomimetics, 8(6), p.507.
https://doi.org/10.3390/biomimetics8060507

Test Results (CEC2017, dim=10, pop=30, epoch=3333, 51 runs)

Func	Mean	Best	Worst	Std	Median
F1	2.50e+03	1.39e+03	3.93e+03	5.84e+02	2.33e+03
F3	3.04e+02	3.00e+02	3.40e+02	6.14e+00	3.04e+02
F4	4.82e+02	4.26e+02	6.13e+02	4.20e+01	4.73e+02
F5	5.00e+02	5.00e+02	5.00e+02	1.10e-09	5.00e+02

Checklist

• My pull request adheres to the code style of this project
• All the tests have passed